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Finding the Third Proportional to 33,635.25 and 71,370

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Solution

The third proportional to 33,635.25 and 71,370 is: 151,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,635.25 : 71,370 = 71,370 : x
  2. Step 2: Convert to fraction form
    33,635.25/71,370 = 71,370/x
  3. Step 3: Cross multiply
    33,635.25x = 71,370 × 71,370
  4. Step 4: Simplify right side
    33,635.25x = 5,093,676,900
  5. Step 5: Solve for x
    x = 5,093,676,900/33,635.25
  6. Step 6: Final answer
    x = 151,438.65

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.